T(T)over-bar-deformed nonlinear Schrodinger

The T (T) over bar -deformed classical Lagrangian of a 2D Lorentz invariant theory can be derived from the original one, perturbed only at first order by the bare T (T) over bar composite field, through a field-dependent change of coordinates. Considering, as an example, the nonlinear Schrodinger (NLS) model with generic potential, we apply this idea to non-relativistic models. The form of the deformed Lagrangian contains a square-root and is similar but different from that for relativistic bosons. We study the deformed bright, grey and Peregrine's soliton solutions. Contrary to naive expectations, the T (T) over bar -perturbation of nonlinear Schrodinger NLS with quartic potential does not trivially emerge from a standard non-relativistic limit of the deformed sinh-Gordon field theory. The c -> infinity outcome corresponds to a different type of irrelevant deformation. We derive the corresponding Poisson bracket structure, the equations of motion and discuss various interesting aspects of this alternative type of perturbation, including links with the recent literature.

Automated summary

The T (T) over bar-deformed classical Lagrangian of a 2D Lorentz invariant theory can be derived through a field-dependent change of coordinates. Applying this idea to non-relativistic models, we study the deformed bright, grey and Peregrine's soliton solutions. The perturbation of nonlinear Schrodinger NLS with quartic potential does not trivially emerge from a standard non-relativistic limit of the deformed field theory, suggesting a different type of irrelevant deformation.